Compound Inequalities

Front

What symbol is used for an open dot when graphing an inequality?

Back

<, >

Front

Solve: 3x + 2 < -7 or -4x + 5 < 1

Back

x < -3 or x > 1

Front

Solve: -3 ≤ 2x - 1 ≤ 5

Back

-1 ≤ x ≤ 3

Front

Give the final solution set for: 2x + 1 > 9 or x - 4 < 6

Back

All real numbers

Front

What does a closed dot represent when graphing an inequality?

Back

≤, ≥

Front

Solve: 2x - 3 > 5 or x + 4 < 2

Back

x > 4 or x < -2

Front

What is the solution set for the compound inequality: -2 < x < 3?

Back

(-2, 3) in interval notation.

Front

Solve: 4x + 1 ≤ 9 and 2x - 3 > 1

Back

x ≤ 2 and x > 2, no solution.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' requires both conditions to be true; 'or' requires at least one condition to be true.

Front

Solve: -5 < 3x + 1 < 4

Back

-2 < x < 1.